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brilliants [131]
2 years ago
9

What is the domain and range for the following function and its inverse?

Mathematics
1 answer:
Basile [38]2 years ago
4 0

Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

f–1(x)  

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

You might be interested in
The price of a new car was $12 500 It is reduced to £11 625 Work out the percentage reduction
cricket20 [7]
Answer:

12,500-11,625=875

875/12,500=7/100

7/100*100=7

The percentage reduction is 7%

P.S * represents multiplication
4 0
2 years ago
Which expression represents this word phrase?<br><br> five more than the product of x and 6
disa [49]

<u><em>Answer:</em></u>

<u>The expression is:</u> 6x + 5

<u><em>Explanation:</em></u>

Product means <u>multiplication</u>

Therefore, the product of x and 6 means that we will multiply x by 6

<u>This would give us:</u> 6x

Now, five more than the product means that we will <u>add</u> 5 to the product we just obtained

<u>This means that:</u>

<u>five more than the product of x and 6 is:</u>

6x + 5

Hope this helps :)

3 0
3 years ago
A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies c
NemiM [27]
1.75 + 0.25x ≤ 15
where x is equal the number of miles.

The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done. 

15 - 1.75 = 13.25
13.25/0.25 = x 
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
4 0
3 years ago
PLEASE HELP! WILL NAME BRAINLIEST!!
lbvjy [14]

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

3 0
3 years ago
Read 2 more answers
An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How
inn [45]
5x + 3y = 460
5(x + y = 120)
5x + 5y = 600
Use elimination subtraction
-2y = -140
y = 70
There are 70 student tickets
3 0
2 years ago
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